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Finding the Third Proportional to 89,540 and 125,514

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Solution

The third proportional to 89,540 and 125,514 is: 175,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,540 : 125,514 = 125,514 : x
  2. Step 2: Convert to fraction form
    89,540/125,514 = 125,514/x
  3. Step 3: Cross multiply
    89,540x = 125,514 × 125,514
  4. Step 4: Simplify right side
    89,540x = 15,753,764,196
  5. Step 5: Solve for x
    x = 15,753,764,196/89,540
  6. Step 6: Final answer
    x = 175,941.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.